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Finding the Third Proportional to 7,125,410 and 10,749,027

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Solution

The third proportional to 7,125,410 and 10,749,027 is: 16,215,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125,410 : 10,749,027 = 10,749,027 : x
  2. Step 2: Convert to fraction form
    7,125,410/10,749,027 = 10,749,027/x
  3. Step 3: Cross multiply
    7,125,410x = 10,749,027 × 10,749,027
  4. Step 4: Simplify right side
    7,125,410x = 115,541,581,446,729
  5. Step 5: Solve for x
    x = 115,541,581,446,729/7,125,410
  6. Step 6: Final answer
    x = 16,215,429.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.